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一种用于研究印度南部泰米尔纳德邦麻风病流行地区时空变化的贝叶斯方法。

A Bayesian approach to study the space time variation of leprosy in an endemic area of Tamil Nadu, South India.

作者信息

Joshua Vasna, Gupte Mohan D, Bhagavandas M

机构信息

National Institute of Epidemiology, R127, Third Avenue, Tamil Nadu Housing Board Colony, Ayapakkam, Chennai 600 077, India.

出版信息

Int J Health Geogr. 2008 Jul 21;7:40. doi: 10.1186/1476-072X-7-40.

Abstract

BACKGROUND

In leprosy endemic areas, patients are usually spatially clustered and not randomly distributed. Classical statistical techniques fail to address the problem of spatial clustering in the regression model. Bayesian method is one which allows itself to incorporate spatial dependence in the model. However little is explored in the field of leprosy. The Bayesian approach may improve our understanding about the variation of the disease prevalence of leprosy over space and time.

METHODS

Data from an endemic area of leprosy, covering 148 panchayats from two taluks in South India for four time points between January 1991 and March 2003 was used. Four Bayesian models, namely, space-cohort and space-period models with and without interactions were compared using the Deviance Information Criterion. Cohort effect, period effect over four time points and spatial effect (smoothed) were obtained using WinBUGS. The spatial or panchayat effect thus estimated was compared with the raw standardized morbidity (leprosy prevalence) rate (SMR) using a choropleth map. The possible factors that might have influenced the variations of prevalence of leprosy were explored.

RESULTS

Bayesian models with the interaction term were found to be the best fitted model. Leprosy prevalence was higher than average in the older cohorts. The last two cohorts 1987-1996 and 1992-2001 showed a notable decline in leprosy prevalence. Period effect over 4 time points varied from a high of 3.2% to a low of 1.8%. Spatial effect varied between 0.59 and 2. Twenty-six panchayats showed significantly higher prevalence of leprosy than the average when Bayesian method was used and it was 40 panchayats with the raw SMR.

CONCLUSION

Reduction of prevalence of leprosy was 92% for persons born after 1996, which could be attributed to various intervention and treatment programmes like vaccine trial and MDT. The estimated period effects showed a gradual decline in the risk of leprosy which could be due to better nutrition, hygiene and increased awareness about the disease. Comparison of the maps of the relative risk using the Bayesian smoothing and the raw SMR showed the variation of the geographical distribution of the leprosy prevalence in the study area. Panchayat or spatial effects using Bayesian showed clustersing of leprosy cases towards the northeastern end of the study area which was overcrowded and population belonging to poor economic status.

摘要

背景

在麻风病流行地区,患者通常呈空间聚集分布而非随机分布。传统统计技术无法解决回归模型中的空间聚集问题。贝叶斯方法能够在模型中纳入空间依赖性。然而,在麻风病领域对此研究甚少。贝叶斯方法可能会增进我们对麻风病患病率在空间和时间上变化的理解。

方法

使用来自印度南部两个区148个村的麻风病流行地区的数据,涵盖1991年1月至2003年3月期间的四个时间点。使用离差信息准则比较四个贝叶斯模型,即有交互作用和无交互作用的空间队列模型与空间时期模型。使用WinBUGS获得四个时间点的队列效应、时期效应以及空间效应(平滑)。使用分级统计图将由此估计的空间或村效应与原始标准化发病率(麻风病患病率)率(SMR)进行比较。探究了可能影响麻风病患病率变化的因素。

结果

发现带有交互项的贝叶斯模型是拟合最好的模型。老年队列中的麻风病患病率高于平均水平。1987 - 1996年和1992 - 2001年的最后两个队列显示麻风病患病率显著下降。四个时间点的时期效应从3.2%的高位到1.8%的低位不等。空间效应在0.59至2之间变化。使用贝叶斯方法时,26个村的麻风病患病率显著高于平均水平,而使用原始SMR时为40个村。

结论

1996年以后出生的人麻风病患病率降低了92%,这可归因于疫苗试验和多药联合化疗等各种干预和治疗项目。估计的时期效应显示麻风病风险逐渐下降,这可能是由于营养改善、卫生条件提高以及对该疾病的认识增强。使用贝叶斯平滑和原始SMR的相对风险地图比较显示了研究区域内麻风病患病率地理分布的变化。使用贝叶斯方法的村或空间效应显示麻风病病例聚集在研究区域的东北端,该区域人口密集且经济状况较差。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5d7d/2533653/8e5e16856752/1476-072X-7-40-1.jpg

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